Question

pls answer this frnds​

Answer 1

Answer:

x = 12, y = 6

Step-by-step explanation:

Given equation 2, 1/x + 1/y = 1/4

Further solving,

(x+y) / xy = 1/4

4x + 4y = xy

From equation 1, x + y = 18

Multiplying by 4,

4x + 4y = 72

From equation 1 and 2,

xy = 72

Given,

x + y = 18

Squaring both sides,

(x + y)² = 18²

x² + y² + 2xy = 324

x² + y² + 144 = 324

x² + y² = 180

x²+y² = 180, xy = 72

x - y = ?

(x - y)² = x² + y² - 2xy

(x - y)² = 180 - 144

(x - y)² = 36

x - y = 6

Now we know,

x + y = 18

x - y = 6

Adding both equations,

2x = 24

x = 12

From equation 1,

x + y = 18

12 + y = 18

y = 6